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Finding the Fourth Proportional to 4,205.64, 5,803.64 and 2,437.30

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Solution

The fourth proportional to 4,205.64, 5,803.64 and 2,437.30 is: 3,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.64 : 5,803.64 = 2,437.30 : x
  2. Step 2: Convert to fraction form
    4,205.64/5,803.64 = 2,437.30/x
  3. Step 3: Cross multiply
    4,205.64x = 5,803.64 × 2,437.30
  4. Step 4: Simplify right side
    4,205.64x = 14,145,211.77
  5. Step 5: Solve for x
    x = 14,145,211.77/4,205.64
  6. Step 6: Final answer
    x = 3,363.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.